Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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K ad trochleam R fixam accedit, illamquę
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tanto ſpatio tranſgreditur, quanta eſt funis
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longitudo: igitur in toto motu percurrit ſpa
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tium quintuplum eius, quod à pondere ver
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sùs trochleam R moto perficitur. </
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>Quoniam
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autem quò tardior eſt ponderis motus cum
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motu potentiæ comparatus, eò minùs pon
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deris grauitas virtuti potentiæ trahentis ob
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ſiſtit; apertum eſt ac manifeſtum faciliùs
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trahi pondus, ſi trochleæ S (cui funis in A
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adnectitur) quàm ſi trochleæ R alligetur: in
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S nimirum motum obtinet motûs potentiæ
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ſubquintuplum, in R autem ſubquadru
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plum. </
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IX
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Non æqua
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li facilitate
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moueri pon
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dus. </
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>vtrili
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bet trochleæ
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adnexum̨,
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demonstra
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tur.
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Gal.
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> Quod præterea Ratione aliquâ min
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noris Inæqualitatis propoſitâ, Antecedens
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terminus ad Conſequentem duplum maio
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rem habeat Rationem, quàm ad alium Con
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ſequentem, ad quem habeat Rationem pro
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poſitæ rationis duplicatam (ſi tamen ſubdu
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plam excipias, cùm eadem ſumma fiat ex
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duplicis binarij additione, ac ex mutuâ illo
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rum multiplicatione) nihil habet dubitatio
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nis. </
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<
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>Datâ ſiquidem Ratione ſubtriplâ 3 ad
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9, ſi Conſequens 9 geminetur, & fiat 18,
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Ratio autem duplicetur inuento tertio con
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tinuè proportionali 27, maior eſt Ratio 3 ad
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18, quàm 3 ad 27. Similiter maior erit </
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